Answer: 86.64%
Step-by-step explanation:
Let x be a random variable that represents the diameter of metal samples.
Given : Population mean : 
Standard deviation: 
Specified tolerance on the diameter is 0.75 mm.
i.e. range of diameter = 10-0.75< x <10+0.75 = 9.25< x< 10.75
Formula to find the z-score corresponds to x: 
At x= 0.75, 

Using standard normal table for z-value,
P-value : 
∴ Percentage of samples manufactured using this process satisfy the tolerance specification = 86.64%
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Thus ;
R = { - 7 , 1 , 9 , 17 }
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The correct answer is (( D )) .
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Answer:
1) distributive property.
Step-by-step explanation:
Becca used the distributive property, in that she distributed (multiplied) 4 to all terms within the parenthesis:
4(x + 2) = 4x + 8
~
Answer:
The answer is <u>54.6</u>.
9.1(6)+8.7(7)=<u>54.6</u>+60.9
Step-by-step explanation:
Given:
9.1(6)+8.7(7)=_+60.9
Now, to solve it:
9.1(6)+8.7(7)=_+60.9
Let the _be x.
So, we remove parenthesis first that makes it multiply with the number next to it:


Now adding on L.H.S:

Subtracting on both sides by 60.9 we get:


Therefore, the answer is 54.6.